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Finding the Fourth Proportional to 459.27, 628.97 and 453.20

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Solution

The fourth proportional to 459.27, 628.97 and 453.20 is: 620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.27 : 628.97 = 453.20 : x
  2. Step 2: Convert to fraction form
    459.27/628.97 = 453.20/x
  3. Step 3: Cross multiply
    459.27x = 628.97 × 453.20
  4. Step 4: Simplify right side
    459.27x = 285,043.79
  5. Step 5: Solve for x
    x = 285,043.79/459.27
  6. Step 6: Final answer
    x = 620.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.